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Finding the Third Proportional to 192,070 and 414,915

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Solution

The third proportional to 192,070 and 414,915 is: 896,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,070 : 414,915 = 414,915 : x
  2. Step 2: Convert to fraction form
    192,070/414,915 = 414,915/x
  3. Step 3: Cross multiply
    192,070x = 414,915 × 414,915
  4. Step 4: Simplify right side
    192,070x = 172,154,457,225
  5. Step 5: Solve for x
    x = 172,154,457,225/192,070
  6. Step 6: Final answer
    x = 896,311.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.